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Chapter 6: Q 6.20TI (page 576)

Factory2-16y+63x2-16x+63

Short Answer

Expert verified

The factored form is(x-9)(x-7)

Step by step solution

01

Given information

Given the polynomial,y2-16y+63

02

Writing as parentheses 

The polynomial can be written as(x)(x). Now creating the table

Factors of63Sum of factors
1,63
1+63=64
3,21
3+21=24
-9,-7
-9-7=-16
03

Use m,nas last terms of factors and form the factored polynomial

Here

m,n=-9,-7m+n=-16m脳n=63

04

Substitute the values and form the factored polynomial 

The factored form is(x-9)(x-7)

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